I have been working from home on workers compensation for about a week, and I need to be able to prove that I accessed/signed in to the company e-learning website via my computer, hopefully with dates/times logged. Is there any way I can do this? Is it on my computer or would I need to go through my ISP?

My history deletes itself every day. I am running windows 10 and firefox.

I'd be amazed if you get anything helpful from the ISP. If your company needs this proof, and the only likely source of it is logs from the server hosting that same company's e-learning website, what's the problem?